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# VITEEE PCME Mock Test - 8

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## 125 Questions MCQ Test VITEEE: Subject Wise and Full Length MOCK Tests | VITEEE PCME Mock Test - 8

VITEEE PCME Mock Test - 8 for JEE 2023 is part of VITEEE: Subject Wise and Full Length MOCK Tests preparation. The VITEEE PCME Mock Test - 8 questions and answers have been prepared according to the JEE exam syllabus.The VITEEE PCME Mock Test - 8 MCQs are made for JEE 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for VITEEE PCME Mock Test - 8 below.
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VITEEE PCME Mock Test - 8 - Question 1

### For the curve x = t2 - 1, y = t2 - t tangent is parallel to x-axis where

VITEEE PCME Mock Test - 8 - Question 2

### The area, in square unit, bounded by the curves y = x3, y = x2 and the ordinates x = 1, x = 2 is

VITEEE PCME Mock Test - 8 - Question 3
VITEEE PCME Mock Test - 8 - Question 4

If z and ω are two non-zero complex numbers such that |z ω | = 1, and arg(z) - arg(ω)= π/2,then z̅ω is equal to

VITEEE PCME Mock Test - 8 - Question 5

VITEEE PCME Mock Test - 8 - Question 6

The derivative of an odd function is an

VITEEE PCME Mock Test - 8 - Question 7

Suppose ω is an imaginary cube root of unity. If (1+ω2)m = (1+ω4)m, then the least positive integral value of m is

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 7

The given equation reduces to (−ω)m    = (−ω2)m

⇒ ωm  = 1

⇒ m = 3

VITEEE PCME Mock Test - 8 - Question 8

VITEEE PCME Mock Test - 8 - Question 9

is continuous at x = 0, then k =

VITEEE PCME Mock Test - 8 - Question 10

The differential equation which represents the family of plane curves y=exp. (cx) is

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 10

y = ecx
dy/dx = c. ecx
y' = cy

VITEEE PCME Mock Test - 8 - Question 11

The differential equation representing the family of curves y2 = 2c(x + √c), where c>0, is a parameter, is of order and degree as follows

VITEEE PCME Mock Test - 8 - Question 12

If y = y(x) and [(2 + sin x)∕(y + 1)(dy∕dx)] = -cos x, y(0) = 1, then y (π∕2) equals

VITEEE PCME Mock Test - 8 - Question 13

If siny=x sin (a+y), (dy/dx)=

VITEEE PCME Mock Test - 8 - Question 14

Integrating factor of

VITEEE PCME Mock Test - 8 - Question 15

If f(x) = cos (logx), then f(x) f(y) -1/2[f(x/y) + f(xy)] has the value

VITEEE PCME Mock Test - 8 - Question 16

∫sin√x dx =

VITEEE PCME Mock Test - 8 - Question 17

∫[(sec2x)/(1+tanx)] dx =

VITEEE PCME Mock Test - 8 - Question 18

If sin (sin⁻1 1/5 + cos-1 x) = 1, then x is equal to

VITEEE PCME Mock Test - 8 - Question 19

If a , b , c , d are positive real numbers then

VITEEE PCME Mock Test - 8 - Question 20

Which is logically equivalent to "If today is Sunday, Matt cannot play hockey."?

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 20

Statements are logically equivalent to their contrapositives.

VITEEE PCME Mock Test - 8 - Question 21

VITEEE PCME Mock Test - 8 - Question 22

If A is a singular matrix, then A adj (A)

VITEEE PCME Mock Test - 8 - Question 23

If the value of a determinants is 11, then the square of the determinant formed by its cofactor will be

VITEEE PCME Mock Test - 8 - Question 24

How many words can be formed from the letters of the word MATHEMATICS?

VITEEE PCME Mock Test - 8 - Question 25

\'A\' draws two cards with replacement from a pack of 52 cards and \'B\' throws a pair of dice. What is the chance that \'A\' gets both cards of same suit and \'B\' gets total of 6?

VITEEE PCME Mock Test - 8 - Question 26

The probabiltiy that the two digit number formed by digits 1,2,3,4 is divisible by 4, is

VITEEE PCME Mock Test - 8 - Question 27

A single letter is selected at random from the word PROBABILITY. The probability that it is a vowel is

VITEEE PCME Mock Test - 8 - Question 28

VITEEE PCME Mock Test - 8 - Question 29

The fourth ,seventh and tenth of a G.P. are p,q,r respectively then

VITEEE PCME Mock Test - 8 - Question 30

Which of the following measures of marks is the most suitable one of central location for computing intelligence of students?

VITEEE PCME Mock Test - 8 - Question 31

A batsman scores runs in 10 innings 38, 70, 48, 34, 42, 55, 63, 46, 54 and 44, then the mean deviation is

VITEEE PCME Mock Test - 8 - Question 32

In equation 2|x+1|-2x=|2x-1|+1 the values of x are

VITEEE PCME Mock Test - 8 - Question 33

The equation of the sphere concentric with the sphere x2+y2+z2-4x-6y-8z=0 and which passes thro' (0.1,0) is

VITEEE PCME Mock Test - 8 - Question 34

If √2 + √3 + i be one of the roots of a given equation f(x) = 0 with real coefficients, then the lowest degree of such an equation must be____

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 34

Since the complex and irrational roots occure in pairs, therefore, if one root is 2 + √3 + i , then the other roots are

VITEEE PCME Mock Test - 8 - Question 35

The equation of the sphere concentric with the sphere x2+y2+z2 - 4x - 6y - 8z - 5 = 0 and which passes through the point (0, 1, 0) is

VITEEE PCME Mock Test - 8 - Question 36

If m1, m2 are slopes of the two tangents that are drawn from (2, 3) to the parabola y2 = 4x, then the value of [(1/m1) + (1/m2)] is

VITEEE PCME Mock Test - 8 - Question 37

If P is any point on the hyperbola [(x - 1)2/9 - (y + 1)2/16] = 1 and S1, S2 are its foci, then | s1 P - S2 P |

VITEEE PCME Mock Test - 8 - Question 38

The values of 'θ' satisfying sin 7θ = sin 4θ - sin θ in 0 < θ < π/2 are

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 38

sin 7θ + sin θ - sin 4θ = 0
⇒ 2 sin 4θ . cos 3θ - sin 4θ = 0
⇒ sin 4θ [2 cos 3θ - 1] = 0
⇒ sin 4θ = 0 or cos 3θ = 1/2 = cos ( π/3 )
⇒ 4θ = nπ or 3θ = 2nπ  ( π/3 )
⇒ θ = nπ/4 or θ = ( 2nπ/3 )  ( π/9 )
∴ The values of θ are π/4 , π/9

VITEEE PCME Mock Test - 8 - Question 39

The angle between the vectors i-j+k and i+2j+k is

VITEEE PCME Mock Test - 8 - Question 40

The volume of parallelopiped whose edges are -12i+λk, 3i-k, 2i+j-15k respectively is 546, then λ=

VITEEE PCME Mock Test - 8 - Question 41
In an A.C. circuit, the power factor
VITEEE PCME Mock Test - 8 - Question 42

The value of de-Broglie wavelength of an electron moving with a speed of 6.6 x 105 m s-1 is approximately [ h = 6.6 x 10-34   J − sec , mass of electron = 9 x 10-31 Kg ]

VITEEE PCME Mock Test - 8 - Question 43

A photon of energy 2.5eV and wavelength λ falls on a metal surface and the ejected electrons have a velocity 'V' . If the wave length λ of incident light is decreased by 20%, the velocity of emitted electrons is doubled, then the work function of the metal is

VITEEE PCME Mock Test - 8 - Question 44
9 gm of silver is deposited in 20 min. by a battery of 24 V. How many gms will be deposited in 40 min. by a battery of 8 V?
VITEEE PCME Mock Test - 8 - Question 45

If sky wave with a frequency of 50 MHz is incident on D-region at an angle of 30o, then angle of refraction is

VITEEE PCME Mock Test - 8 - Question 46

Minimum resistance of a circuit, with n resistance 'R' each combination is

VITEEE PCME Mock Test - 8 - Question 47
If the charge on a capacitor is increased by 2 coulomb, the energy stored in it increases by 21%. The original charge on the capacitor is
VITEEE PCME Mock Test - 8 - Question 48
Which statement is true ?
(i) Kirchhoff's law is not equally applicable to both AC and DC.
(ii) Semiconductors have a positive temperature coefficient of resistance.
(iii) Meter bridge is least sensitive when the resistance of all the four arms of the bridge are of the same order .
(iv) The emf of a cell depends upon the size and area of electrodes.
VITEEE PCME Mock Test - 8 - Question 49

A wire of length L is drawn such that its diameter is reduced to half of its original diameter. If the initial resistance of the wire were 10Ω, its new resistance would be

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 49

We have kept the volume of the wire constant i.e.

VITEEE PCME Mock Test - 8 - Question 50
In an experiment to measure the internal resistance of a cell, by a potentiometer, it is found that the balance point is at a length of 2 m, when the cell is shunted by a 5 Ω resistance and is at a length of 3m when the cell is shunted by a 10 Ω resistance. The internal resistance of the cell is
VITEEE PCME Mock Test - 8 - Question 51
If an electron and a photon propagates in the form of waves having the same wavelength, it implies that they have the same
VITEEE PCME Mock Test - 8 - Question 52
A generator at a utility company produces 100 A of current at 4000 V. The voltage is stepped up to 240000 V by a transformer before it is sent on a high voltage transmission line. The current in transmission line is
VITEEE PCME Mock Test - 8 - Question 53

The expression for magnetic induction inside a solenoid of length L, carrying a current I and having N number of turns is

VITEEE PCME Mock Test - 8 - Question 54
Which of the following waves have maximum wavelength?
VITEEE PCME Mock Test - 8 - Question 55
A charge is placed at the centre of a cube, the flux emitted through its one face is
VITEEE PCME Mock Test - 8 - Question 56
A charge of 5 C is given a displacement of 0.5 m. The work done in the process is 10 J. The potential difference between the two points will be
VITEEE PCME Mock Test - 8 - Question 57
Consider the situation shown in figure. Work done in carrying a point charge from k to A, B, C are ${W}_{A},{W}_{B},{W}_{C}$ respectively. Which one is true?
VITEEE PCME Mock Test - 8 - Question 58
The ratio of charge to potential of a capacitor is known as its
VITEEE PCME Mock Test - 8 - Question 59
Two point charges +8q and -2q are located at x = 0 and x = L respectively. The location of a point on the x-axis, at which the net electric field due to these two point charges is zero, is
VITEEE PCME Mock Test - 8 - Question 60
To send 10% of the main current, through a moving coil galvanometer of resistance 99Ω, the shunt required is
VITEEE PCME Mock Test - 8 - Question 61

The inductance of a coil is L = 10 H and resistance R = 5 Ω . If applied voltage of battery is 10 V and it switches off in 1 millisecond, find induced emf of inductor.

VITEEE PCME Mock Test - 8 - Question 62
The number of beta particles emitted by a radioactive substance is twice the number of alpha particles emitted by it. The resulting daughter is an:
VITEEE PCME Mock Test - 8 - Question 63
The rest energy involved in a mass of one atomic mass unit is ---- eV.
VITEEE PCME Mock Test - 8 - Question 64

VITEEE PCME Mock Test - 8 - Question 65
Assuming photoemission to continue to take place, the factor by which the maximum velocity of the emitted photoelectrons changes when the wavelength of the incident radiation is increased four times, is
VITEEE PCME Mock Test - 8 - Question 66
When the light source is kept 20 cm away from a photo cell, stopping potential 0.6 V is obtained. When source is kept 40 cm away, the stopping potential will be
VITEEE PCME Mock Test - 8 - Question 67
A mirror produces magnified erect image of an object. The nature of the mirror is
VITEEE PCME Mock Test - 8 - Question 68
The energy stored in a capacitor is actually stored
VITEEE PCME Mock Test - 8 - Question 69

The distance travelled by light in glass (refractive index =1.5) in a nanosecond will be

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 69

Speed of light in glass
Distance travelled in one nanosecond
= 2 x 108 x 10-9 = 0.2 m = 20 cm

VITEEE PCME Mock Test - 8 - Question 70
The voltage gain of an amplifier with 9% negative feedback is 10. The voltage gain without feedback will be
VITEEE PCME Mock Test - 8 - Question 71
To obtain p - type extrinsic semiconductor, the impurity element to be added to Germanium should be of valence
VITEEE PCME Mock Test - 8 - Question 72
The dominant mechanism for motion of charge carriers in forward and reverse biased silicon p-n junction are
VITEEE PCME Mock Test - 8 - Question 73
Electronic configuration of Germanium is 2, 8, 18 and 4. To make it extrinsic semiconductor small quantity of antimony is added
VITEEE PCME Mock Test - 8 - Question 74
A rectifier converts
VITEEE PCME Mock Test - 8 - Question 75
Electronic configuration of germanium is 2, 8, 18 and 4. To make it extrinsic semiconductor small quantity of antinomy is added
VITEEE PCME Mock Test - 8 - Question 76
In the forward bias arrangement of a p-n junction diode
VITEEE PCME Mock Test - 8 - Question 77
A wave front is the locus of all the particles of a medium, which are vibrating in the
VITEEE PCME Mock Test - 8 - Question 78
The golden view of sea shell is due to
VITEEE PCME Mock Test - 8 - Question 79
Two sources of same intensity interfere at a point and produced resultant I. When one source is removed, the intensity at that point will be
VITEEE PCME Mock Test - 8 - Question 80
In Young's experiment of double slit, the intensity of central bright band is ---- times the individual intensities of the interfering waves
VITEEE PCME Mock Test - 8 - Question 81

In presence of alkali, C₂H₅OH reacts with Cl₂ to give

VITEEE PCME Mock Test - 8 - Question 82

At room temperature formaldehyde is

VITEEE PCME Mock Test - 8 - Question 83

Schiff's reagent is

VITEEE PCME Mock Test - 8 - Question 84

The product acetal is produced by reacting alcohol in the presence of dry HCl with

VITEEE PCME Mock Test - 8 - Question 85

The addition of HBr to 2-pentene gives

VITEEE PCME Mock Test - 8 - Question 86

The ratio of the molar amounts of H₂S needed to precipitate the metal ions from 20 mL each of 1M Cd(NO₃)₂ and 0.5 M CuSO₄ is

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 86

As Cd2+ and Cu2+, both are dipositive ions but Cu2+ has one half of the concentration compared to that of the Cd2+. Thus, the molar amount of the H2S used to precipitate the metals ions Cd2+ and Cu2+ is 2 : 1.

VITEEE PCME Mock Test - 8 - Question 87

How many monochlorobutanes will be obtained on chlorination of n-butane?

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 87

VITEEE PCME Mock Test - 8 - Question 88

The unit for electric current is

VITEEE PCME Mock Test - 8 - Question 89

Which one of the following compounds is not a vitamin?

VITEEE PCME Mock Test - 8 - Question 90

The substances which act as emulsifiers in lipid metabolism are

VITEEE PCME Mock Test - 8 - Question 91

Scurvy is caused due to the deficiency of vitamin

VITEEE PCME Mock Test - 8 - Question 92

The following reaction is called
2 CH₃COOC₂H₅ → CH₃COCH₂COOC₂H₅

VITEEE PCME Mock Test - 8 - Question 93

Which of the following is the strongest acid?

VITEEE PCME Mock Test - 8 - Question 94

Vinegar made from cane sugar, now-a-days synthetically contains

VITEEE PCME Mock Test - 8 - Question 95

The role of a catalyst in a reversible reaction is to

VITEEE PCME Mock Test - 8 - Question 96

Calculate Δ H in KJ for the following reaction C(s)+ O2 g → CO2 g Given that
H2O g + C g → CO g + H2 g , Δ H = + 131 k J
CO g + 1/2 O2 g → CO2 g , Δ H = − 282 k J
H2 g + 1/2 O2 g →H2O g , Δ H = − 242 k J

VITEEE PCME Mock Test - 8 - Question 97

The rate, at which a substance reacts at constant temperature, depends upon its

VITEEE PCME Mock Test - 8 - Question 98

The free energy change ∆G=0, when

VITEEE PCME Mock Test - 8 - Question 99

Which of the following ingredients is not used in sun burn creams?

VITEEE PCME Mock Test - 8 - Question 100

Which of the following will show geometrical isomerism ?

VITEEE PCME Mock Test - 8 - Question 101

Standard enthalpy and standard entropy changes for the oxidation of ammonia at 298 K are - 382.64 kJ mol-1 and - 145.6 JK-1 mol-1 respectively. The standard Gibbs energy change for the same reaction 298 K is

Detailed Solution for VITEEE PCME Mock Test - 8 - Question 101

VITEEE PCME Mock Test - 8 - Question 102

How many EDTA (ethylenediaminetetraacetic acid) molecules are required to make an octahedral complex with a Ca2+ ion?

VITEEE PCME Mock Test - 8 - Question 103

Acetaldoxime reacts with P₂O₅ to give

VITEEE PCME Mock Test - 8 - Question 104

Which of the following compound gives dye test ?

VITEEE PCME Mock Test - 8 - Question 105

A complex compound of Co2+ with molecular formula CoClxyNH₃ gives a total of three ions per molecule when dissolved in water. How many Cl⁻ ions satisfy primary as well secondary valencies in this complex?

VITEEE PCME Mock Test - 8 - Question 106

The amount of electricity that can deposit 108 g of silver from silver nitrate solution is

VITEEE PCME Mock Test - 8 - Question 107

Which of the following is a strong electrolyte?

VITEEE PCME Mock Test - 8 - Question 108

The quantity of electricity required to liberate 112 cm3 of hydrogen at STP from acidified water is

VITEEE PCME Mock Test - 8 - Question 109

The important oxide ore of iron is

VITEEE PCME Mock Test - 8 - Question 110

Among the following oxides, the least acidic is

VITEEE PCME Mock Test - 8 - Question 111

Use of hot air balloons in sports and metereological observations is an application of

VITEEE PCME Mock Test - 8 - Question 112

When ether is exposed in air for sometime, an explosive substance produced is

VITEEE PCME Mock Test - 8 - Question 113

An alloy which does not contain copper is

VITEEE PCME Mock Test - 8 - Question 114

Nitrogen shows different oxidation states in the range

VITEEE PCME Mock Test - 8 - Question 115

In CsCl structure, each Cs⁺ ion is surrounded by

VITEEE PCME Mock Test - 8 - Question 116

VITEEE PCME Mock Test - 8 - Question 117

Zn2+aq) + 2e- → Zn(s). This is

VITEEE PCME Mock Test - 8 - Question 118

Cupric hydroxide dissolves in aqueous ammonia due to

VITEEE PCME Mock Test - 8 - Question 119

The formation of a colloid from suspension is

VITEEE PCME Mock Test - 8 - Question 120

Cuprous ion is colourless while cupric ion is coloured because

VITEEE PCME Mock Test - 8 - Question 121

Find the antonym of DEROGATORY

VITEEE PCME Mock Test - 8 - Question 122

Find the Synonym of BLADERDASH

VITEEE PCME Mock Test - 8 - Question 123

Fill in the blank with appropriate word.
Many of the advances of civilisation have been conceived by young people just on the........of adulthood

VITEEE PCME Mock Test - 8 - Question 124

Out of the given alternatives, choose the one which can be substituted for the given capitalised word.

The police fired AT RANDOM at the violent crowd and several persons lost their lives.

VITEEE PCME Mock Test - 8 - Question 125

Improve the sentence by choosing best alternative for capitalised part of the sentence.

Last evening I went to the optician and bought SPECTACLES

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